Question

Simplify
81 x 3 raised to(n+1) - 9x3 raised to n/
81 x 3 raised to (n+ 1) – 3×3 raised to (n+2)​

Answer 1

Answer:

$\dfrac{39}{40}$

Step-by-step explanation:

We had given equation

$\dfrac{81\times3^{n+1}-9\times3^{n}}{81\times3^{n+1}-3\times3^{n+2}}$

After further solving it, We would get

=$\dfrac{81\times3^{n}\tmies3-9\times3^{n}}{81\times3^{n}\tmies3-3\times3^{n}}$

=$\dfrac{9\times3^{n}(27-1)}{3\times3^{n}(81-1)}$

=$\dfrac{3\times26}{80}$

The final answer would be

=$\dfrac{39}{40}$